# How do you find the greatest common factor of the following monomials: 4c, 18c?

Mar 18, 2018

See a solution process below:

#### Explanation:

Find the prime factors for each number as:

$4 c = 2 \times 2 \times c$

$18 c = 2 \times 3 \times 3 \times c$

Now identify the common factors and determine the GCF:

$4 c = \textcolor{red}{2} \times 2 \times \textcolor{red}{c}$

$18 c = \textcolor{red}{2} \times 3 \times 3 \times \textcolor{red}{c}$

Therefore:

$\text{GCF} = \textcolor{red}{2} \times \textcolor{red}{c}$ = 2c#